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Finding the Fourth Proportional to 164,020.80, 245,876.40 and 89,030.40

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Solution

The fourth proportional to 164,020.80, 245,876.40 and 89,030.40 is: 133,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020.80 : 245,876.40 = 89,030.40 : x
  2. Step 2: Convert to fraction form
    164,020.80/245,876.40 = 89,030.40/x
  3. Step 3: Cross multiply
    164,020.80x = 245,876.40 × 89,030.40
  4. Step 4: Simplify right side
    164,020.80x = 21,890,474,242.56
  5. Step 5: Solve for x
    x = 21,890,474,242.56/164,020.80
  6. Step 6: Final answer
    x = 133,461.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.